Answer:
n(U)=200
n(M)=140
n(S)=120
n(MuS)complement=40
n(MuS)=n(U)-n(MuS)complement
 =200-40
 =160
n(MnS)=n(M)+n(S)-n(MuS)
 =140+120-160
 =260-160
 =100
 
        
                    
             
        
        
        
Answer:
The frequency of the given sinusoidal graph is 4.
Step-by-step explanation:
The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.
From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to  .
.
If the complete its one cycle in  , then the number of cycles completed by the graph in the inteval 0 to 2π is
, then the number of cycles completed by the graph in the inteval 0 to 2π is



Therefore the frequency of the given sinusoidal graph is 4.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
<h3> Reciprocal:</h3>
     
<h3>Additive inverse:</h3>
  
         Now multiply,
           
                       
 
        
             
        
        
        
Answer:
An equation represents the number of pieces of lasagna that are left after dinner is 
Step-by-step explanation:
Each piece of Lasagna is 1/6 of the pan
Let x be the number of pieces left 
So, x pieces is  of the pan
 of the pan 
We are given that After dinner 2/3 of a pan of lasagna is left. 
So, 

x=4
So, Number of pieces left = 4
Hence An equation represents the number of pieces of lasagna that are left after dinner is 
 
        
             
        
        
        
Answer:
≈ 520 000
Step-by-step explanation:
2¹⁹=  524 288 ≈ 520 000